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135144442404 = 2232107173202799
BaseRepresentation
bin111110111011100111…
…1001000101000100100
3110220211110002222220200
41331313033020220210
54203233434124104
6142030130230500
712523001543466
oct1756717105044
9426743088820
10135144442404
1152350572924
1222237725430
13c9899377aa
14678080a136
1537ae7ecb39
hex1f773c8a24

135144442404 has 72 divisors (see below), whose sum is σ = 346802601600. Its totient is φ = 44368957632.

The previous prime is 135144442373. The next prime is 135144442417. The reversal of 135144442404 is 404244441531.

135144442404 is a `hidden beast` number, since 1 + 35 + 144 + 442 + 40 + 4 = 666.

135144442404 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564997 + ... + 767795.

It is an arithmetic number, because the mean of its divisors is an integer number (4816702800).

Almost surely, 2135144442404 is an apocalyptic number.

It is an amenable number.

135144442404 is an abundant number, since it is smaller than the sum of its proper divisors (211658159196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135144442404 is a wasteful number, since it uses less digits than its factorization.

135144442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203089 (or 203084 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 135144442404 its reverse (404244441531), we get a palindrome (539388883935).

The spelling of 135144442404 in words is "one hundred thirty-five billion, one hundred forty-four million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 107 173 214 321 346 428 519 642 692 963 1038 1284 1557 1926 2076 3114 3852 6228 18511 37022 55533 74044 111066 166599 202799 222132 333198 405598 608397 666396 811196 1216794 1825191 2433588 3650382 7300764 21699493 35084227 43398986 65098479 70168454 86797972 105252681 130196958 140336908 195295437 210505362 260393916 315758043 390590874 421010724 631516086 781181748 1263032172 3754012289 7508024578 11262036867 15016049156 22524073734 33786110601 45048147468 67572221202 135144442404